scholarly journals Numerical method to calculate two-dimensional incompressible viscous flow in rotating systems using he curvilinear coordinate transformation technique.

1989 ◽  
Vol 55 (512) ◽  
pp. 1054-1061
Author(s):  
Kikuo UMEGAKI ◽  
Kazuyoshi MIKI
Keyword(s):  
Viscous Flow ◽  
Numerical Method ◽  
Coordinate Transformation ◽  
Two Dimensional ◽  
Transformation Technique ◽  
Rotating Systems ◽  
Incompressible Viscous Flow ◽  
Curvilinear Coordinate

scholarly journals Computational design of PDP cell by curvilinear coordinate transformation technique

2003 ◽  
Vol 2003.39 (0) ◽  
pp. 107-108
Author(s):  
Takashi Misaka ◽  
Satoyuki Kawano ◽  
Kazuhiro Nakahashi ◽  
Katsutoshi Sindo
Keyword(s):  
Coordinate Transformation ◽  
Computational Design ◽  
Transformation Technique ◽  
Curvilinear Coordinate

scholarly journals Two-Dimensional Incompressible Viscous Flow Simulation Using Velocity-Vorticity Dual Reciprocity Boundary Element Method

2004 ◽  
Vol 20 (3) ◽  
pp. 177-185 ◽  
Author(s):  
T. I. Eldho ◽  
D. L. Young
Keyword(s):  
Boundary Element Method ◽  
Viscous Flow ◽  
Boundary Element ◽  
Computational Domain ◽  
Two Dimensional ◽  
Flow Problems ◽  
Poisson Equations ◽  
Incompressible Viscous Flow ◽  
Vorticity Transport ◽  
Element Method

AbstractThis paper describes a computational model based on the dual reciprocity boundary element method (DRBEM) for the solution of two-dimensional incompressible viscous flow problems. The model is based on the Navier-Stokes equations in velocity-vorticity variables. The model includes the solution of vorticity transport equation for vorticity whose solenoidal vorticity components are obtained by solving Poisson equations involving the velocity and vorticity components. Both the Poisson equations and the vorticity transport equations are solved iteratively using DRBEM and combined to determine the velocity and vorticity vectors. In DRBEM, all source terms, advective terms and time dependent terms are converted into boundary integrals and hence the computational domain of the problem reduces by one. Internal points are considered wherever solution is required. The model has been applied to simulate two-dimensional incompressible viscous flow problems with low Reynolds (Re) number in a typical square cavity. Results are obtained and compared with other models. The DRBEM model has been found to be reasonable and satisfactory.

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